Atkin-Lehner |
2- 3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
25620h |
Isogeny class |
Conductor |
25620 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
7844331600 = 24 · 38 · 52 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 -6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-861,8460] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-189:1] [-24:126:1] |
Generators of the group modulo torsion |
j |
4416899252224/490270725 |
j-invariant |
L |
8.2880019058458 |
L(r)(E,1)/r! |
Ω |
1.2738039106437 |
Real period |
R |
0.27110406072556 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102480bh1 76860l1 128100m1 |
Quadratic twists by: -4 -3 5 |